dullrich@sprynet.com wrote:> On Tue, 09 Jul 2013 11:39:00 +0100, Sandy <sandy@hotmail.invalid>> wrote:>>> For n, m natural numbers, n < m, let G be the free group on n generators>> and H the free group on m generators. Is H an elementary extension of G?>> Assuming that the generators for G are a subset of the generators> for H, so that H _is_ an extension of G:>> I've seen it said>> http://en.wikipedia.org/wiki/Free_group#Universal_property>> that any two free groups have the same first-order theory...